please send correct answer for Q 40 Question 4O3-26.Let A=2.-2--634-2Then the cofactors CaC22andthe determinant det(A) =det(A,)det(A)'Recall Cramer's Rule: Given Ax = b, if det(A) +0 then a; =where A, is obtained from A by replacing its ithcolumn by bIf Ax = [14-4 4 0 0]" then x3 =(Simplify your answer!)%3D11647.2600O

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Answered: 3. -1 -2 Let A- -2 -6 3 4 -2 Then the…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.8: Determinants

Problem 7E

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Similar questions

The trace (sum of entries on the main diagonal) of a matrix is equal to the sum of the eigenvalues and the determinant is equal to the product of the eigenvalues. Use these facts to answer the question. Suppose that the trace of a 2×2 matrix A is tr(A)=14 and the determinant is det(A)=45. Find the eigenvalues of ?
Step 3 of 3: Calculate the coefficient of determinatin. r2. Round your answer to three decimal places.
The trace determinant plane in our textbook (and in We-bAssign) includes two border cases: (1) when τ = 0 (and ∆ > 0), wehave a center point and (2) when τ 2 = 4∆, we have a degenerate node.It does not include the other border case when ∆ = 0.(c) Suppose τ > 0. Is the (0, 0) equilibrium stable or unstable in thiscase? What if τ < 0
Compute the following determinants via reduction to tri- angular form or by citing a particular theorem or corol- lary:
Fast pls solve this question correctly in 5 min pls I will give u like for sure Sini A matrix A has eigenvectors v1 = [0 1 1]T , v2 = [1 − 1 0]T and v3 = [1 0 − 1]T . Knowing that the first column of A is [1 2 3]T , find the remaining entries of the matrix.
The trace determinant plane in our textbook (and in We-bAssign) includes two border cases: (1) when τ = 0 (and ∆ > 0), wehave a center point and (2) when τ 2 = 4∆, we have a degenerate node.It does not include the other border case when ∆ = 0.(a) What type of eigenvalues do we have when ∆ = 0 (remember, wefound the eigenvalues in terms of τ and ∆ in HW10)
Here we have a system of differential equations. (dx/dt) = 11x + 8y, (dy/dt) = 8x - y. The coefficient matrix, [11 8][8 -1] has eigenvectors: [1] and [2] [-2] [1] With corresponding eigenvalues of -5 and 15. what is the general solution of this system?

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3. -1 -2 Let A- -2 -6 3 4 -2 Then the cofactors Ca and e determinant det(A) det(A,) det(A) call Cramer's Rule: Given Ax b, if det(A) # 0 then z,= where A, is obtained from A by r %3D 7. 2800O